Question

Factorise using algebraic identities
9x²-1/144
​

Answer 1

Identity: a² - b² = (a +b)·(a - b)

∴ 9x² - 1/144

= (3x)² - (1/12)²

= (3x + 1/12)·(3x - 1/12) ...answer.

More identities:-

• (a ± b)² = a² + b² ± 2ab
• (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac
• (x + a)(x + b) = x² + (a + b)x + ab
• (a ± b)³ = a³ ± b³ ± 3ab(a ± b)
• a³ ± b³ = (a ± b)(a² ± ab + b²)
• a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ac)
• 4ab = (a + b)² - (a - b)²
• 2(a² + b²) = (a + b)² + (a - b)²

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